Search a number
-
+
520616880 = 243257531949
BaseRepresentation
bin11111000001111…
…111101110110000
31100021122002002200
4133001333232300
52031234220010
6123354343200
715621112320
oct3701775660
91307562080
10520616880
11247969193
1212642ab00
1383b23234
144d201280
1530a8bcc0
hex1f07fbb0

520616880 has 240 divisors, whose sum is σ = 2036923200. Its totient is φ = 116692992.

The previous prime is 520616869. The next prime is 520616881. The reversal of 520616880 is 88616025.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (520616881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 266146 + ... + 268094.

It is an arithmetic number, because the mean of its divisors is an integer number (8487180).

Almost surely, 2520616880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 520616880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1018461600).

520616880 is an abundant number, since it is smaller than the sum of its proper divisors (1516306320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

520616880 is a wasteful number, since it uses less digits than its factorization.

520616880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2028 (or 2019 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 520616880 is about 22817.0304816381. The cubic root of 520616880 is about 804.4630139165.

The spelling of 520616880 in words is "five hundred twenty million, six hundred sixteen thousand, eight hundred eighty".